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Given its chord length of 2360 mm and arch height of 600mm, the best formula to find the arc length is! Given its chord length of 1760mm and arch height of 600mm, how much is the arc length!
Given its chord length L = 2360mm and arch height h = 600mm, calculate the arc length C?
The radius of the arc is r, and the center angle of the arc is a
R^2=(R-H)^2+(L/2)^2
R^2=R^2-2*R*H+H^2+L^2/4
2*R*H=H^2+L^2/4
R=H/2+L^2/(8*H)
=600/2+2360^2/(8*600)
=1460.3MM
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((2360/2)/1460.3)
=107.81 degrees
=107.81*PI/180
=1.8816 radians
C=A*R
=1.8816*1460.3
=2747.8MM
Given its chord length L = 1760mm and arch height h = 600mm, calculate the arc length C
The radius of the arc is r, and the center angle of the arc is a
R^2=(R-H)^2+(L/2)^2
R^2=R^2-2*R*H+H^2+L^2/4
2*R*H=H^2+L^2/4
R=H/2+L^2/(8*H)
=600/2+1760^2/(8*600)
=945.3MM
A=2*ARC SIN((L/2)/R)
=2*ARC SIN((1760/2)/945.3)
=137.15 degrees
=137.15*PI/180
=2.39368 radians
C=A*R
=2.39368*945.3
=2262.8MM
Given the chord length of 0.85 m and the arch height of 0.4 m, calculate the arc length formula
Known chord length L = 0.85m, arch height h = 0.4m, calculate arc length C? Arc radius r, arc radius r, arc center angle A.R ^ 2 = (R-H) ^ 2 + (L / 2) ^ 2R ^ 2 = R ^ 2-2 * r * h * H + H ^ 2 + L ^ 2 / 42 * r * H = H ^ 2 + L ^ 2 + L ^ 2 / 42 * r * H = H ^ 2 + L ^ 2 / 4R = H ^ 2 + L ^ 2 / 4R = H / 2 + L ^ 2 / (8 * h) = 0.4 / 2 + 0.85 ^ 2 / (8 * 0.4) = 0.426 meters, a = 2 * arc sin ((L / 2) / R) = (L / 2) / r = (L / 2) / r = (L / 2) / r = (L / 2 2 * arc s
How to calculate the radius of an arc with known chord length and arch height? Given chord length and arch height, formula for radius? Formula for chord length when arc length and arch height are known?
Chord length d and arch height h, the formula for finding radius R: r = D ^ 2 / (8h) + H / 2 given arc length C and arch height h, it is difficult to calculate chord length L. I will introduce the parameter @ = C / R sin @ = (R-H) / R, so that R can be obtained
For an arc with known chord length and height, find the radius For example, if the chord length is 100, and the height between the midpoint of the chord and the midpoint of the arc is 30, we hope to have the simplest formula for calculating the radius of the arc
Let the radius be r, the chord length m and the height n
R＾2＝（M/2）＾2+（R-N）＾2
Known arc length and radius, and angle to find chord length emergency
Given the arc length C = 3.14 and angle a = 22.5 degrees, calculate the chord length L?
The arc radius is r
Angle a = 22.5 degrees = 22.5 * pi / 180 = 0.392699 radians
R = C / a = 3.14/0.392699 = 7.996m
L=2*R*SIN(A/2)
=2*7.996*SIN(22.5/2)
=3.12 M
Given arc length C = 3.14 and radius r = 8, calculate chord length L?
The center angle of the circle is a
A = C / r = 3.14 / 8 = 0.3925 radian = 0.3925 * 180 / pi = 22.489 degrees
L=2*R*SIN(A/2)
=2*8*SIN(22.489/2)
=3.12 M
What is the formula for the length of an arc?
The formula is: l = θ R (where θ represents the radian corresponding to the central angle of a circle). \ x0d in addition, given the chord length a and radius r, we can get sin (θ / 2) = A / 2R by trigonometric relationship. Therefore, the complete formula is as follows: x0dl = 2rarcsin (A / 2R), there is no way but to include the inverse trigonometric function
Formula of calculating chord length by known radius arc length
Let radius be r and arc length a,
Then the center angle of the circle is a / R
Chord length = 2R * sin (A / (2R))
The radius of the sector is known. The arc length formula is
First, find out that the center angle θ = arc length / radius,
Chord length = 2 * radius * sin θ / 2
Known arc length = 130, chord length = 120, arc height = 2, find the radius of the circle. It's better to have a formula. Thank you
R = H / 2 + L ^ 2 / 8h R -- radius h -- arc height L -- chord length
R=2/2+120^2/(8*2)=901
Given the arc length, chord length and arc height, is there a formula for calculating the sagittal height from the quarter of the chord length to the arc? The arc length is 11.4,8, and the chord length is 3.68 The chord length is 10.6
Taking the midpoint of the chord as the origin and the perpendicular as the y-axis, the plane rectangular coordinate system is established, the equation of the circle is written, and the y value in the point (3.975, y) can be obtained
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